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Cover: 9783319516578 | Inverse Problems for Partial Differential Equations | Victor Isakov
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Inverse Problems for Partial Differential Equations
Buch von Victor Isakov
Sprache: Englisch

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Beschreibung
This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.
This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.

Review of the second edition:
"The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ¿ The second edition is considerably expanded and reflects important recent developments in the field ¿ . Some of the research problems from the first edition have been solved ¿ ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)
This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.
This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.

Review of the second edition:
"The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ¿ The second edition is considerably expanded and reflects important recent developments in the field ¿ . Some of the research problems from the first edition have been solved ¿ ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)
Inhaltsverzeichnis
Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.
Details
Erscheinungsjahr: 2017
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Applied Mathematical Sciences
Inhalt: xv
406 S.
4 s/w Illustr.
406 p. 4 illus.
ISBN-13: 9783319516578
ISBN-10: 3319516574
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Isakov, Victor
Auflage: 3rd ed. 2017
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Applied Mathematical Sciences
Maße: 241 x 160 x 29 mm
Von/Mit: Victor Isakov
Erscheinungsdatum: 03.03.2017
Gewicht: 0,799 kg
Artikel-ID: 108549361
Inhaltsverzeichnis
Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.
Details
Erscheinungsjahr: 2017
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Applied Mathematical Sciences
Inhalt: xv
406 S.
4 s/w Illustr.
406 p. 4 illus.
ISBN-13: 9783319516578
ISBN-10: 3319516574
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Isakov, Victor
Auflage: 3rd ed. 2017
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Applied Mathematical Sciences
Maße: 241 x 160 x 29 mm
Von/Mit: Victor Isakov
Erscheinungsdatum: 03.03.2017
Gewicht: 0,799 kg
Artikel-ID: 108549361
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